# The Earthly Ellipse!

A Particle is thrown from Earth, at a velocity $$\displaystyle u$$ and an angle $$\displaystyle \theta$$ to the horizontal.

Find the Semi-major axis of the elliptical path of the particle (in Km)

Details and Assumptions:
$$\bullet G = 6.6\times 10^{-11}$$
$$\bullet M_{Earth} = 6\times 10^{24}Kg$$
$$\bullet R_{Earth} = 6000Km$$
$$\bullet u = 10m/s$$
$$\bullet \theta = 50^o$$

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